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Finding the Fourth Proportional to 11,863.73, 17,794.98 and 3,543.81

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Solution

The fourth proportional to 11,863.73, 17,794.98 and 3,543.81 is: 5,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.73 : 17,794.98 = 3,543.81 : x
  2. Step 2: Convert to fraction form
    11,863.73/17,794.98 = 3,543.81/x
  3. Step 3: Cross multiply
    11,863.73x = 17,794.98 × 3,543.81
  4. Step 4: Simplify right side
    11,863.73x = 63,062,028.07
  5. Step 5: Solve for x
    x = 63,062,028.07/11,863.73
  6. Step 6: Final answer
    x = 5,315.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.